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Finding the Third Proportional to 38,948.50 and 55,506.50

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Solution

The third proportional to 38,948.50 and 55,506.50 is: 79,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,948.50 : 55,506.50 = 55,506.50 : x
  2. Step 2: Convert to fraction form
    38,948.50/55,506.50 = 55,506.50/x
  3. Step 3: Cross multiply
    38,948.50x = 55,506.50 × 55,506.50
  4. Step 4: Simplify right side
    38,948.50x = 3,080,971,542.25
  5. Step 5: Solve for x
    x = 3,080,971,542.25/38,948.50
  6. Step 6: Final answer
    x = 79,103.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.